Counting - Addition and Multiplication

SOURCE:COMPETITION
Number of Problems: 1. : (Book)

 

 

1.
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A license plate in a certain state consists of 4 digits, not necessarily distinct, and 2 letters, also not necessarily distinct. These six characters may appear in any order, except that the two letters must appear next to each other. How many distinct license plates are possible?

mathrm{(A)  } 10^4	imes 26^2qquadmathrm{(B)  } 10^3	imes 26^3qquadmathrm{(C)  } 5	imes 10^4	imes 26^2qquadmathr...

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